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Finding the Fourth Proportional to 10,525.98, 15,778.41 and 3,595.74

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Solution

The fourth proportional to 10,525.98, 15,778.41 and 3,595.74 is: 5,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.98 : 15,778.41 = 3,595.74 : x
  2. Step 2: Convert to fraction form
    10,525.98/15,778.41 = 3,595.74/x
  3. Step 3: Cross multiply
    10,525.98x = 15,778.41 × 3,595.74
  4. Step 4: Simplify right side
    10,525.98x = 56,735,059.97
  5. Step 5: Solve for x
    x = 56,735,059.97/10,525.98
  6. Step 6: Final answer
    x = 5,390.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.